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Finding the Fourth Proportional to 151,071.20, 208,480.80 and 83,091.20

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Solution

The fourth proportional to 151,071.20, 208,480.80 and 83,091.20 is: 114,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,071.20 : 208,480.80 = 83,091.20 : x
  2. Step 2: Convert to fraction form
    151,071.20/208,480.80 = 83,091.20/x
  3. Step 3: Cross multiply
    151,071.20x = 208,480.80 × 83,091.20
  4. Step 4: Simplify right side
    151,071.20x = 17,322,919,848.96
  5. Step 5: Solve for x
    x = 17,322,919,848.96/151,071.20
  6. Step 6: Final answer
    x = 114,667.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.